Stonewalling a psychiatrist won't get you very far if you're wanting to open easy dialogue with them. [You need that rapport with them, if you want to see under their layers of professionalism. He was able to play Hannibal because he got Hannibal to trust him... it might've backfired in the end, but he'd managed it. At a cost.]

And if they already know enough about us, then he'll have no trouble picking at those chinks in your armour if they want to.